The option c is the answer because
2p=p (1.07)^x
2=1.07^x
Solve for x
X=log(2)÷log(1.07)
x=10 years the amount will be doubled after 10 years
But your option says the investment will (more) than double with (12) years
So it's correct
Answer:
11/5 slope
Step-by-step explanation:
5-(-6) -4-(-9)
11/ 5
Answer:
∠ 4 = 80°
Step-by-step explanation:
∠ 5 and 100° are vertical angles and are congruent , so
∠ 5 = 100°
∠ 4 and ∠ 5 are same- side interior angles and sum to 180° , that is
∠ 4 + ∠ 5 = 180°
∠ 4 + 100° = 180° ( subtract 100° from both sides )
∠ 4 = 80°
Answer:
12 m
Step-by-step explanation:
Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.
Thus, we are given the ratio, CD:GH = 2:3.
This means, any of the corresponding lengths of both figures would be in that same ratio.
Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.
The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔
Cross multiply
Divide both sides by 2 to make EH the subject of formula
The length of side EH = 12 m
Answer:
m∠N = 85°
Step-by-step explanation:
<u>Properties of a parallelogram</u>
- opposite sides are parallel and equal in length
- opposite angles are equal
- interior angles that lie on the same side of the transversal are supplementary - their sum is 180°
Therefore,
m∠M + m∠N = 180°
⇒ 95° + m∠N = 180°
⇒ m∠N = 180° - 95°
⇒ m∠N = 85°
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<u>Additional calculations</u>
m∠M = m∠P = 95°
m∠N = m∠L = 85°
MN = LP
ML = NP
